关于线性算子的概率范数与算子空间  

On Probabilistic Norm of a Linear Operators and Space of Operators

作　　者：方锦暄[1] 

机构地区：[1]南京师范大学数学系,南京210097

出　　处：《应用数学和力学》1999年第10期1081-1086,共6页Applied Mathematics and Mechanics

基　　金：江苏省教委自然科学基金!资助项目 (JW970 135 )

摘　　要：由于满足(PN_5)条件的PN空间(E,F)就是MangerPN空间(E,F,min),因此,肖建中等给出的关于PN空间上线性算子概率范数的结果有较大的局限性·　本文中,在较一般的MengerPN空间上研究有关线性算子的概率范数和算子空间的问题,改进和推广了肖建中等的结果·Since the PN space (E, F ) which satisfies condition (PN_5) is just a Menger PN_space (E,F,min), the results with regard to probabilistic norms of linear operators on PN_spaces obtained by Xiao Jianzhong have bigger limitations. In this paper, problems respecting probabilistic norms of linear operators and spaces of operators are studied on more general Menger PN spaces. The results presented improve and generalize the corresponding results by Xiao.

关 键 词：线性算子 概率范数 算子空间 MengerPN空间 

分 类 号：O177.3[理学—数学]